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The average mpg usage for a 2009 Toyota Prius for a sample of 10 tanks of...

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Basic Math

The average mpg usage for a 2009 Toyota Prius for a sample of 10tanks of gas was 45.5 with a standard deviation of 1.8. For a 2009Honda Insight, the average mpg usage for a sample of 10 tanks ofgas was 42.0 with a standard deviation of 2.3.

Assuming equal variances, at ? = .01, is the truemean mpg lower for the Honda Insight?

  

(a-1)Choose the appropriate hypotheses.
a.H0: ?toy –?hon ? 0 vs. H1:?toy – ?hon > 0. RejectH0 if tcalc > 2.552
b.H0: ?toy –?hon ? 0 vs. H1:?toy – ?hon > 0. RejectH0 if tcalc < 2.552
c.H0: ?toy –?hon ? 0 vs. H1:?toy – ?hon < 0. RejectH0 if tcalc <–2.552
d.

H0: ?toy –?hon ? 0 vs. H1:?toy – ?hon < 0. RejectH0 if tcalc > –2.552

(a-2)Calculate the tcalc. (Round youranswer to 4 decimal places.)

  

  tcalc
(a-3)Based on the t-value determined, choose the correctdecision.
Fail to reject the null hypothesis
Reject the null hypothesis
(a-4)Is the true mean mpg lower for the Honda Insight?
Yes
No
(b)Calculate the p-value using Excel. (Round youranswer to 4 decimal places.)
  p-value   

Answer & Explanation Solved by verified expert
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GIVENSample size of gas tankes for 2009toyota prius Sample average mpg usage for 2009toyota prius Sample standard deviation of mpgusage for 2009 toyota prius Sample size of gas tankes for 2009Honda Insight Sample average mpg usage for 2009Honda Insight Sample standard deviation of mpgusage for 2009 Honda InsightLEVEL OF    See Answer
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